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Finding the Third Proportional to 86,539 and 186,005

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Solution

The third proportional to 86,539 and 186,005 is: 399,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,539 : 186,005 = 186,005 : x
  2. Step 2: Convert to fraction form
    86,539/186,005 = 186,005/x
  3. Step 3: Cross multiply
    86,539x = 186,005 × 186,005
  4. Step 4: Simplify right side
    86,539x = 34,597,860,025
  5. Step 5: Solve for x
    x = 34,597,860,025/86,539
  6. Step 6: Final answer
    x = 399,795.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.